PROBLEMS Section 2.2 2.1. Solve the following difference equations: (a) Yk+1+Yk = 2+ k,
PROBLEMS Section 2.2 2.1. Solve the following difference equations: (a) Yk+1+Yk = 2+ k,
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:PROBLEMS
Section 2.2
2.1. Solve the following difference equations:
(a) Yk+1 + yk = 2+ k,
(b) Yk+1 – 2Yk
(c) Yk+1 – 3ky
(d) Yk+1 – Yk = 1/k(k+ 1),
(e) Yk+1 + Yk = 1/k(k+1),
(f) (k + 2)yk+1 – (k +1)yk = 5+2k – k²,
k = (),
:0,
(g) Yk+1+ Yk = k + 2· 3k,
(h) Yk+1 – Yk = ke“,
Bak?
cos(bk),
(i) Yk+1 -
- aa2k,
Yk =
(j) Yk+1 – aYk
(k) Yk+1 + Yk = (-1)*,
(1)
Yk+1
k+1
* = k.
-
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